Question

Match the following using divisibility rule.

• A. by 6, 12 not by 15
• B. by 6 not by 12, 15
• C. by 6, 12, 15
• D. by none of 6, 12, 15

Answer 1

We know: A number divisible by both 2 and 3 is also divisible by 6.

A number divisible by both 3 and 4 is also divisible by 12.

A number divisible by both 3 and 5 is also divisible by 15.

468 is divisible by 2, 3, 4 but not by 5 so it is divisible by 6, 12 but not by 15.

921 is divisible by 3 but not by 2, 4, 5 so it is not divisible by 6, 12, 15.

2,160 is divisible by 2, 3, 4, 5 so it is divisible by 6, 12, 15.

1,146 is divisible by 2, 3 but not by 4, 5 so it is divisible by 6 but not by 12, 15.